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Normal 2 Coverings Of The Finite Simple Groups And Their Generalizations


Normal 2 Coverings Of The Finite Simple Groups And Their Generalizations
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Normal 2 Coverings Of The Finite Simple Groups And Their Generalizations


Normal 2 Coverings Of The Finite Simple Groups And Their Generalizations
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Author : Daniela Bubboloni
language : en
Publisher: Springer Nature
Release Date : 2024-07-22

Normal 2 Coverings Of The Finite Simple Groups And Their Generalizations written by Daniela Bubboloni and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-22 with Mathematics categories.


This book provides a complete and comprehensive classification of normal 2-coverings of non-abelian simple groups and their generalizations. While offering readers a thorough understanding of these structures, and of the groups admitting them, it delves into the properties of weak normal coverings. The focal point is the weak normal covering number of a group G, the minimum number of proper subgroups required for every element of G to have a conjugate within one of these subgroups, via an element of Aut(G). This number is shown to be at least 2 for every non-abelian simple group and the non-abelian simple groups for which this minimum value is attained are classified. The discussion then moves to almost simple groups, with some insights into their weak normal covering numbers. Applications span algebraic number theory, combinatorics, Galois theory, and beyond. Compiling existing material and synthesizing it into a cohesive framework, the book gives a complete overview of this fundamental aspect of finite group theory. It will serve as a valuable resource for researchers and graduate students working on non-abelian simple groups,



Comprehensive Dissertation Index 1861 1972 Mathematics And Statistics


Comprehensive Dissertation Index 1861 1972 Mathematics And Statistics
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Author : Xerox University Microfilms
language : en
Publisher:
Release Date : 1973

Comprehensive Dissertation Index 1861 1972 Mathematics And Statistics written by Xerox University Microfilms and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Dissertations, Academic categories.




Mathematical Reviews


Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2007

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.




The Classification Of Finite Simple Groups


The Classification Of Finite Simple Groups
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Author : Michael Aschbacher
language : en
Publisher: American Mathematical Soc.
Release Date : 2011

The Classification Of Finite Simple Groups written by Michael Aschbacher and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.


Provides an outline and modern overview of the classification of the finite simple groups. It primarily covers the 'even case', where the main groups arising are Lie-type (matrix) groups over a field of characteristic 2. The book thus completes a project begun by Daniel Gorenstein's 1983 book, which outlined the classification of groups of 'noncharacteristic 2 type'.



Structure Theory For Canonical Classes Of Finite Groups


Structure Theory For Canonical Classes Of Finite Groups
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Author : Wenbin Guo
language : en
Publisher: Springer
Release Date : 2015-04-23

Structure Theory For Canonical Classes Of Finite Groups written by Wenbin Guo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-23 with Mathematics categories.


This book offers a systematic introduction to recent achievements and development in research on the structure of finite non-simple groups, the theory of classes of groups and their applications. In particular, the related systematic theories are considered and some new approaches and research methods are described – e.g., the F-hypercenter of groups, X-permutable subgroups, subgroup functors, generalized supplementary subgroups, quasi-F-group, and F-cohypercenter for Fitting classes. At the end of each chapter, we provide relevant supplementary information and introduce readers to selected open problems.



Word Problems Ii


Word Problems Ii
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Author : Lev D. Beklemishev
language : en
Publisher: Elsevier
Release Date : 2000-04-01

Word Problems Ii written by Lev D. Beklemishev and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-04-01 with Computers categories.


WORD PROBLEMS II



Abstracts Of Papers Presented To The American Mathematical Society


Abstracts Of Papers Presented To The American Mathematical Society
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Author : American Mathematical Society
language : en
Publisher:
Release Date : 2003

Abstracts Of Papers Presented To The American Mathematical Society written by American Mathematical Society and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.




Index Of Mathematical Papers


Index Of Mathematical Papers
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Author :
language : en
Publisher:
Release Date : 1985

Index Of Mathematical Papers written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematical reviews categories.




Encyclopaedia Of Mathematics


Encyclopaedia Of Mathematics
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Author : Michiel Hazewinkel
language : en
Publisher: Springer Science & Business Media
Release Date : 1988

Encyclopaedia Of Mathematics written by Michiel Hazewinkel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.


V.1. A-B v.2. C v.3. D-Feynman Measure. v.4. Fibonaccimethod H v.5. Lituus v.6. Lobachevskii Criterion (for Convergence)-Optical Sigman-Algebra. v.7. Orbi t-Rayleigh Equation. v.8. Reaction-Diffusion Equation-Stirling Interpolation Fo rmula. v.9. Stochastic Approximation-Zygmund Class of Functions. v.10. Subject Index-Author Index.



Group Actions In Ergodic Theory Geometry And Topology


Group Actions In Ergodic Theory Geometry And Topology
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Author : Robert J. Zimmer
language : en
Publisher: University of Chicago Press
Release Date : 2019-12-23

Group Actions In Ergodic Theory Geometry And Topology written by Robert J. Zimmer and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-23 with Mathematics categories.


Robert J. Zimmer is best known in mathematics for the highly influential conjectures and program that bear his name. Group Actions in Ergodic Theory, Geometry, and Topology: Selected Papers brings together some of the most significant writings by Zimmer, which lay out his program and contextualize his work over the course of his career. Zimmer’s body of work is remarkable in that it involves methods from a variety of mathematical disciplines, such as Lie theory, differential geometry, ergodic theory and dynamical systems, arithmetic groups, and topology, and at the same time offers a unifying perspective. After arriving at the University of Chicago in 1977, Zimmer extended his earlier research on ergodic group actions to prove his cocycle superrigidity theorem which proved to be a pivotal point in articulating and developing his program. Zimmer’s ideas opened the door to many others, and they continue to be actively employed in many domains related to group actions in ergodic theory, geometry, and topology. In addition to the selected papers themselves, this volume opens with a foreword by David Fisher, Alexander Lubotzky, and Gregory Margulis, as well as a substantial introductory essay by Zimmer recounting the course of his career in mathematics. The volume closes with an afterword by Fisher on the most recent developments around the Zimmer program.